Question

simplify
$(3 + \sqrt{3)(3 - \sqrt{3)} }$
​

Answer 1

Correct Question :-

Simplify :- $\sf (3 + \sqrt{3} )(3 - \sqrt{3} )$

Answer :-

$\sf{(3 + \sqrt{3} )(3 - \sqrt{3} ) }$ = 6.

Explanation :-

We will use Identity :-

(a + b)(a - b) = a² + b²

$\dashrightarrow{\sf{(3 + \sqrt{3} )(3 - \sqrt{3}) }}$

$\dashrightarrow{\sf{ {(3)}^{2} - ( { \sqrt{3} )}^{2} }}$

$\dashrightarrow{\sf{ 9 - 3}}$

$\dashrightarrow{\textsf{\textbf{6}}}$

Therefore,

$\sf{(3 + \sqrt{3} )(3 - \sqrt{3} ) }$ = 6.

Some Identities :-

• (a + b)² = a² + b² + 2ab.

• (a - b)² = a² + b² - 2ab.

• (a + b)(a - b) = a² + b².